1)

The solution of sin x = $-\frac{\sqrt{3}}{2}$ is


A) $x = n\pi+ (-1)^{n}\frac{4\pi}{3}, n \epsilon Z$

B) x = n\pi+ (-1)^{n}\frac{2\pi}{3}, n \epsilon Z

C) $x = n\pi+ (-1)^{n}\frac{3\pi}{3}, n \epsilon Z$

D) None of these

Answer:

Option A

Explanation:

We have, sin x = $-\frac{\sqrt{3}}{2}$

= -sin$\frac{\pi}{3}$

Hence, sin x = $\frac{4\pi}{3}$  which gives

$x = n\pi+ (-1)^{n}\frac{4\pi}{3}, n \epsilon Z$